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1 static const int kBufferSize = 50; | |
2 | |
3 static double ComposeDouble(char* buffer, int sign, int length, int point) { | |
4 int k = point - length; | |
5 // Integrate exponent into buffer. | |
6 buffer[length] = 'e'; | |
7 snprintf(&buffer[length+1], kBufferSize - length - 1, "%d", k); | |
8 double result; | |
9 sscanf(buffer, "%lf", &result); // NOLINT | |
10 if (sign) { | |
11 result *= -1; | |
12 } | |
13 return result; | |
14 } | |
15 | |
16 | |
17 static bool IsCorrect(double v, char* buffer, int sign, int length, int point) { | |
18 return v == ComposeDouble(buffer, sign, length, point); | |
19 } | |
20 | |
21 | |
22 // The precision of long doubles is not enough to ensure the correct rounding. | |
23 static bool IsRounded(double v, char* buffer, int sign, int length, int point) { | |
24 // We don't test when v is 0. | |
25 if (v == 0) return true; | |
26 | |
27 // Simplify things by working with positive numbers. | |
28 if (v < 0) v = -v; | |
29 char correct_buffer[100]; | |
30 snprintf(correct_buffer, sizeof(correct_buffer), "%.90e", v); | |
31 // Get rid of the '.' | |
32 correct_buffer[1] = correct_buffer[0]; | |
33 char* correct_str = &correct_buffer[1]; | |
34 | |
35 int i = 0; | |
36 while (true) { | |
37 if (correct_str[i] == '\0' || correct_str[i] == 'e') { | |
38 // We should never need all digits. | |
39 return false; | |
40 } | |
41 | |
42 if (buffer[i] == '\0' || buffer[i] == 'e') { | |
43 // Verify that the remaining correct digits are small enough. | |
44 if (correct_str[i] < '5') return true; | |
45 return false; // For simplicity we assume that '5' is rounded up. | |
46 } | |
47 | |
48 if (buffer[i] != correct_str[i]) { | |
49 if (buffer[i] < correct_str[i]) return false; | |
50 if (buffer[i] - correct_str[i] != 1) return false; | |
51 if (correct_str[i+1] < '5') return false; | |
52 return true; | |
53 } | |
54 | |
55 // Both characters are equal | |
56 i++; | |
57 } | |
58 } | |
59 | |
60 | |
61 static bool IsShortest(double v, | |
62 char* buffer, | |
63 int sign, | |
64 int length, | |
65 int point) { | |
66 // Now test if a shorter version would still yield the same result. | |
67 // Not an exhaustive test, but better than nothing. | |
68 | |
69 if (length == 1) return true; | |
70 | |
71 char last_digit = buffer[length - 1]; | |
72 | |
73 if (buffer[length - 1] == '0') return false; | |
74 | |
75 if (v == ComposeDouble(buffer, sign, length - 1, point)) { | |
76 return false; | |
77 } | |
78 | |
79 bool result = true; | |
80 if (buffer[length-2] != '9') { | |
81 buffer[length - 2]++; | |
82 double changed_value = ComposeDouble(buffer, sign, length-1, point); | |
83 if (v == changed_value) { | |
84 printf("ROUNDED FAILED DEBUG: %s\n", buffer); | |
85 result = false; | |
86 } | |
87 buffer[length - 2]--; | |
88 } | |
89 buffer[length - 1] = last_digit; | |
90 return result; | |
91 } | |
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